Question

Topic: Base e and Natural logs
ln 8x=3 plzzz need help with this and a good explanation

Answer 1

\(\bf ln(8x)=3 \implies log_e(8x)=3
\\ \quad \\
\textit{using the log cancellation rule of }\Large {\color{blue}{ a}}^{log_{\color{blue}{ a}}(x)}=x\qquad thus
\\ \quad \\
log_e(8x)=3\implies {\Large {\color{blue}{ e}}^{log_{\color{blue}{ e}}(8x)}={\color{blue}{ e}}^3 }\implies 8x=e^3\)

Answer 2

and you can take it from there

Answer 3

lol well that's the part I get stuck on idk what to do at that point

Answer 4

2^3 is 8

Answer 5

well, just divide both sides by 8, like on any linear simplification

Answer 6

so 3^3/8x

Answer 7

8

Answer 8

.1373

Answer 9

3^3?

Answer 10

I mean e^3